The Heart of Mathematics: An Invitation to Effective Thinking (Google eBook)

Front Cover
Springer Science & Business Media, 2005 - Mathematics - 760 pages
2 Reviews
The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols.

The authors are award-winning authors, holding awards such as: Distinguished Teaching Award (Burger, from the Mathematical Association of America); Chauvenet Prize (the best expository mathematics writer in the world, Burger, from the MAA) and many others.

  

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User Review - Flag as inappropriate

GET THIS BOOK. If not for yourself, then get it for your children or a friends children. Make sure you get the "add-on" pack. Amazon sells it separately. Book stores often only sell the bundled book and add-on pack; which contains items that allow you to experiment with the concepts as you learn them.
I can't even count how many times I've given my copy of this book away and then gone to buy myself a new one. It always starts out the same; in casual conversation someone mentions "I hate math" or "I'm not good at math". Boom! I tell them a little bit about this book and before I know it, I am handing over my copy so that they can experience the profound beauty in our everyday world that they have been missing. Yes, believe it or not, it's math that illuminates that beauty. Seriously.
Dr. Starbird, with his child like curiosity, shares his love for math with us by focusing our attention on normal everyday experiences and without you even realizing it ushers us through mathematical concepts that you never thought you would be interested in.
 

User Review - Flag as inappropriate

I'm not a big fan of math textbooks, but this is a brilliantly written text that uses humor while using understandable ways of explaining things. I am a student currently using this book for my Discrete Math class, and it is a wonderful book. The lessons are easy to understand and explain thoroughly. The problems are challenging at times and hold jokes within them a lot as well. This is a spectacular book compared to other textbooks, and I recommend it for using in class or learning by yourself. 

Contents

IV
xxiv
VII
2
IX
12
XI
16
XIII
25
XV
36
XVI
38
XVII
47
LVI
372
LVII
387
LIX
400
LX
402
LXII
410
LXIV
428
LXV
456
LXVII
480

XIX
62
XX
80
XXI
93
XXIII
108
XXV
119
XXVII
134
XXVIII
136
XXX
143
XXXI
160
XXXIII
171
XXXV
188
XXXVI
204
XXXVII
206
XXXIX
216
XL
230
XLII
247
XLIII
267
XLV
287
XLVII
305
XLIX
324
L
326
LII
344
LIV
357
LXIX
501
LXX
512
LXXII
514
LXXIV
521
LXXVI
539
LXXVIII
552
LXXIX
569
LXXX
583
LXXXI
608
LXXXII
626
LXXXIV
628
LXXXVI
643
LXXXVII
661
LXXXIX
680
XCI
698
XCIII
714
XCIV
717
XCV
720
XCVI
723
XCVII
745
XCVIII
756
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Popular passages

Page 28 - Contrariwise," continued Tweedledee, " if it was so, it might be ; and if it were so, it would be : but as it isn't, it ain't. That's logic.
Page xiv - Shall any gazer see with mortal eyes, ' Or any searcher know by mortal mind , Veil after veil will lift but there must be Veil upon veil behind.
Page xxiv - I am certain of nothing but of the holiness of the Heart's affections and the truth of Imagination What the imagination seizes as Beauty must be truth whether it existed before or not...

References to this book

About the author (2005)

burger is an award-winning teacher and professor of mathematics at williams college.

Bibliographic information